What is 84.4 percent of 21.2 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 21.2 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 21.2 is 100%, so we can write it down as 21.2=100%.
4. We know, that x is 84.4% of the output value, so we can write it down as x=84.4%.
5. Now we have two simple equations:
1) 21.2=100%
2) x=84.4%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
21.2/x=100%/84.4%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 84.4% of 21.2

21.2/x=100/84.4
(21.2/x)*x=(100/84.4)*x       - we multiply both sides of the equation by x
21.2=1.1848341232227*x       - we divide both sides of the equation by (1.1848341232227) to get x
21.2/1.1848341232227=x
17.8928=x
x=17.8928

now we have:
84.4% of 21.2=17.8928